Q11
For the matrix \[ A = [ array*20c 3& - 2&2 \\ 0& - 2&1 \\ 0&0&1 array ],\] one of the eigen values is equal to -2. Which of the following is an eigen vector?
For the matrix {\text{A}} = \left[ {\begin{array}{*{20}{c}}
3&{ - 2}&2 \\
0&{ - 2}&1 \\
0&0&1
\end{array}} \right], one of the eigen values is equal to -2. Which of the following is an eigen vector?
A.
\left[ {\begin{array}{*{20}{c}}
3 \\
{ - 2} \\
1
\end{array}} \right]
B.
\left[ {\begin{array}{*{20}{c}}
{ - 3} \\
2 \\
{ - 1}
\end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}}
1 \\
{ - 2} \\
3
\end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}}
2 \\
5 \\
0
\end{array}} \right]
AnswerAnswer: Option D
Solution
Answer: Option D
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